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∑p0(q0+q1)∑p1(q0+q1)×100 is Marshall-Edgeworth’s price index number.

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Question

`(sump_0(q_0 + q_1))/(sump_1(q_0 + q_1)) xx 100` is Marshall-Edgeworth’s price index number.

Options

  • True

  • False

MCQ
True or False
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Solution

This statement is False.

Explanation:

Marshall-Edgeworth’s price index number = `(sump_1(q_0 + q_1))/(sump_0(q_0 + q_1)) xx 100`

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Construction of Index Numbers - Weighted Aggregate Method
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Chapter 5: Index Numbers - Miscellaneous Exercise 5 [Page 92]

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Balbharati Mathematics and Statistics 2 (Commerce) [English] Standard 12 Maharashtra State Board
Chapter 5 Index Numbers
Miscellaneous Exercise 5 | Q 3.08 | Page 92

RELATED QUESTIONS

Given that Laspeyre’s and Dorbish-Bowley’s Price Index Numbers are 160.32 and 164.18 respectively, find Paasche’s Price Index Number.


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If Dorbish-Bowley's and Fisher's Price Index Numbers are 5 and 4, respectively, then find Laspeyre's and Paasche's Price Index Numbers.


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Fisher’s Price Number is given by


Choose the correct alternative :

Walsh’s Price Index Number is given by


Walsh’s Price Index Number is given by _______.


State whether the following is True or False :

`sum("p"_1"q"_1)/("p"_0"q"_1)` is Laspeyre’s Price Index Number.


State whether the following is True or False :

`(sum"p"_1"q"_0)/(sum"p"_0"q"_0) xx (sum"p"_1"q"_0)/(sum"p"_0"q"_0) xx 100` is Dorbish-Bowley’s Price Index Number.


Solve the following problem :

Find x if Paasche’s Price Index Number is 140 for the following data.

Commodity Base Year Current Year
  Price
p0
Quantity
q0
Price
p1
Quantity
q1
A 20 8 40 7
B 50 10 60 10
C 40 15 60 x
D 12 15 15 15

Solve the following problem :

Given that Laspeyre’s and Paasche’s Price Index Numbers are 25 and 16 respectively, find Dorbish-Bowley’s and Fisher’s Price Index Number.


Solve the following problem :

Given that `sum "p"_0"q"_0 = 130, sum "p"_1"q"_1 = 140, sum "p"_0"q"_1 = 160, and sum "p"_1"q"_0 = 200`, find Laspeyre’s, Paasche’s, Dorbish-Bowley’s, and Marshall-Edgeworth’s Price Index Numbers.


Solve the following problem :

Given that `sum "p"_1"q"_1 = 300, sum "p"_0"q"_1 = 320, sum "p"_0"q"_0` = 120, and Marshall- Edgeworth’s Price Index Number is 120, find `sum"p"_1"q"_0` and Paasche’s Price Index Number.


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Dorbish–Bowley’s Price Index Number is


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State whether the following statement is True or False:

Walsh’s Price Index Number is given by `(sum"p"_1sqrt("q"_0"q"_1))/(sum"p"_0sqrt("q"_0"q"_1)) xx 100`


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Commodity Base Year Current Year
Price Quantity Price Quantity
A 8 20 11 15
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C 3 30 5 25
D 2 50 4 35

If P01(L) = 40 and P01(P) = 90, find P01(D-B) and P01(F).


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Commodity p0 q0 p1 q1 q0q1 `sqrt("q"_0"q"_1)` p0`sqrt("q"_0"q"_1)` p1`sqrt("q"_0"q"_1)`
I 20 9 30 4 36 `square` `square` 180
II 10 5 50 5 `square` 5 50 `square`
III 40 8 10 2 16 `square` 160 `square`
IV 30 4 20 1 `square` 2 `square` 40
Total     390 `square`

Walsh’s price Index Number is

P01(W) = `square/(sum"p"_0sqrt("q"_0"q"_1)) xx 100`

= `510/square xx 100`

= `square`


Laspeyre’s Price Index Number uses current year’s quantities as weights.


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